# Spring 2002 CSCI 255 Practice Homework 1

This homework is not graded. It is practice for the 11 February quiz.

## Problem 1

Convert the following numbers from decimal into ten-bit
twos-complement notation.

## Problem 2

Convert the following ten-bit twos-complement numbers
into decimal numbers.

- 1011001110
- 0110101110
- 1000000010
- 0111111110

## Problem 3

What are the largest and smallest numbers that can be
expressed as a ten-bit twos-complement number?

## Problem 4

Express the following decimal numbers in base 6:

## Problem 5

Add the following six-bit twos-complement number.
Which, if any, of the additions result in an overflow?

- 101000 + 111011
- 011111 + 000111